On growth of generalized Grigorchuk's overgroups

• Datum: 2020
• 1. Verfasser: Samarakoon, S. T.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2020
• Schlagworte: growth of groups; intermediate growth; Grigorchuk group; growth bounds; 20E08
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1451
• Назва журналу: Algebra and Discrete Mathematics

Grigorchuk's Overgroup \(\widetilde{\mathcal{G}}\), is a branch group of intermediate growth. It contains the first Grigorchuk's torsion group \(\mathcal{G}\) of intermediate growth constructed in 1980, but also has elements of infinite order. Its growth is substantially greater than the g...